On a congruence prime criterion for cusp forms on \(\mathrm{GL}_2\) over number fields

DOI10.1515/CRELLE-2013-0076zbMath1331.11037OpenAlexW2320268831MaRDI QIDQ890756

Kenichi Namikawa

Publication date: 11 November 2015

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2013-0076

zbMATH Keywords

cusp formEichler-Shimura isomorphismcuspidal cohomologycongruence prime

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (3)

On \(p\)-adic \(L\)-function associated with cusp forms on \(\mathrm{GL}_2\) ⋮ Endoscopic congruences modulo adjoint \(L\)-values for \(\mathrm{GSp}(4)\) ⋮ Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms

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